Linux Mint 13 Mate 64 bit. I have a swap file, larger than my ram. I've used ubuntu, fedora, opensuse, centos, pinguy os, and pc linux os, and suspend has worked fine in all of those. But, it doesn't work in Mint. It won't wake up from suspend, instead showing a black screen with a underscore in the top left corner.

Your laptop has two graphics cards (Intel and Nvidia), possibly not having the right drivers loaded may be an issue. I couldn't find anything else on http://www.linlap.com/asus_k53sd. Could you open a terminal and share the output of the following command? You can copy text to/from the terminal, see its Edit menu.